![]() What’s that, you ask? Hold on to that thought. At night, he morphs into a superhero, armed with a sparkling wit and powerful tools: factors, sums, the Zero Factor Property and most importantly, his powerful calculator wrist. ![]() People pass by him, but no one seems to notice the inconspicuous man. When you watch this video, you will see a clearer picture of solving quadratic equations by factoring with concrete examples.Īnalyze Functions Using Different Representations.Įvery day in San Francisco, on Pier 39, there is a street performer named FOIL. Replace x with either values of the roots in the original equation to check. Using the reverse FOIL method, find the factors of c (m and n) that will make both of the following statements true: m * n = c and m + n = b.Įxpress the equation in the form (x + m)(x + n) = 0.īecause of the zero property, we can equate x + m = 0 and x + n = 0. So, if we are given the quadratic equation: x 2 + bx + c = 0, we just need to do the following: The FOIL method tells us that (x + m)(x + n) = x 2 + nx + mx + mn = x 2 + (n + m)x + nm. The zero property of multiplication tells us that if at least one of the factors is equal to zero, then the product is equal to zero. These two techniques come in handy when using the factoring method for solving quadratic equations. You may also recall that the FOIL method is a handy tool when multiplying two binomials. ![]() By this time, you may already be familiar with the zero property of multiplication. ![]()
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